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e) If a convex function f: R→ R satisfies f(10) value for f(7)? = -4 and f(20) = 30, what's the smallest possible

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

you can't use range, only domain, codomain and image. To prove injectivity you need to show f(a) = f(b). You need to show both injectivity and subjectivity regardless.

e) If a convex function f: R→ R satisfies f(10) = -4 and f(20) = 30, what's the smallest possible
value for f(7)?
%3D

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